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57_match_parent_functions


  1. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  2. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  3. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution


  4. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution


  5. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution


  6. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution


  7. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution


  8. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution